(a)

The curve is and .

Consider .

Simplify the function.

.

Apply derivative on each side with respect to .

.

.

Slope of the tangent line is derivative of the function at .

Substitute in the derivative function.

.

Slope of the tangent line to the curve at the point is .

Find the tangent line.

Point-slope form of line equation : .

Substitute and in point-slope form.

The tangent line is .

(b)

Graph :

Graph the function and tangent line passing through the point.

Observe the graph is the tangent line is .

 (c)

Graph :

 Graph the function and tangent line passing through the point using derivative feature.

Observe the graph is the slope of the tangent line to the curve at the point is.

(a) The tangent line is .

(b) Graph of the function and tangent line passing through the point is

(c) Graph of the function and tangent line passing through the point using derivative feature is

.